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Finding the Fourth Proportional to 2,855.17, 3,939.78 and 1,596.27

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Solution

The fourth proportional to 2,855.17, 3,939.78 and 1,596.27 is: 2,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.17 : 3,939.78 = 1,596.27 : x
  2. Step 2: Convert to fraction form
    2,855.17/3,939.78 = 1,596.27/x
  3. Step 3: Cross multiply
    2,855.17x = 3,939.78 × 1,596.27
  4. Step 4: Simplify right side
    2,855.17x = 6,288,952.62
  5. Step 5: Solve for x
    x = 6,288,952.62/2,855.17
  6. Step 6: Final answer
    x = 2,202.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.